748652800896 has 1536 divisors, whose sum is σ = 3049604812800. Its totient is φ = 170002022400.

The previous prime is 748652800891. The next prime is 748652800897. The reversal of 748652800896 is 698008256847.

748652800896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748652800891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2039925705 + ... + 2039926071.

It is an arithmetic number, because the mean of its divisors is an integer number (1985419800).

Almost surely, 2^748652800896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748652800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524802406400).

748652800896 is an abundant number, since it is smaller than the sum of its proper divisors (2300952011904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

748652800896 is a wasteful number, since it uses less digits than its factorization.

748652800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 748652800896 in words is "seven hundred forty-eight billion, six hundred fifty-two million, eight hundred thousand, eight hundred ninety-six".